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Big-O notation is defined as follows: The function f(n) is O(g(n)) if there are positive integers c and N such that f(n) c g(n) for

Big-O notation is defined as follows: The function f(n) is O(g(n)) if there are positive integers c and N such that f(n) c g(n) for all n > N. Is the relation f(n) is O(g(n)) reflexive? symmetric? transitive? Justify your answers. (g(n)) is defined as follows: f(n) is (g(n)) if and only if (f(n) is O(g(n)) & g(n) is O(f(n))). Is the relation f(n) is (g(n)) reflexive? symmetric? transitive? Justify your answers

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